I got a faster character now, and cleaned up the run a bit.

Details on the first wallclip:

1. Align yourself with the middle of the spikes.
2. Triple jump up, against the spikes.
3. Use Havoc Metamorphosis on the bottom side of the gate or below your feet.
4. Walk forward.

Details on the second wallclip.

1. Go near the right edge of the corridor, but not all the way. (If you go all the way, you'll hit your head.)
2. Face the side of the corridor and triple jump against it.
3. Use Fel Rush.
4. Quickly turn the camera about 140° left, and use Fel Rush again to clip in.

(If you don't turn enough, you won't clip in, if you turn too much, you'll hit a brazier inside and still won't clip in.)

Items used:

• Wearing: Lv70 full Mastery crafted Dragonflight gear, 3x Azerite Armor with the Longstrider trait, speed enchants
• Before entering: Fried Bonefish, Charged Phial of Alacrity
• During run: Nitro Boosts